We call the function \(H=[D\ni \xi \mapsto Px(T)]\)  and ODENet [1]} associated with the system of ordinary differential equations (REF ). Similar to ResNet, ODENet can address the issue of vanishing and exploding gradients. In this paper, we consider the ODENet given as follows:
\(\left\lbrace \begin{aligned}x^{\prime }(t) &= \beta (t)x(t)+\gamma (t), & t\in (0,T], \\y^{\prime }(t) &= \alpha (t)\odot \mbox{$\sigma $}(Ax(t)), & t\in (0,T], \\x(0) &= \xi , & \\y(0) &= 0, &\end{aligned}\right.\) 
